What is the Least Common Multiple of 75616 and 75633?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 75616 and 75633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75616 and 75633, than apply into the LCM equation.

GCF(75616,75633) = 17
LCM(75616,75633) = ( 75616 × 75633) / 17
LCM(75616,75633) = 5719064928 / 17
LCM(75616,75633) = 336415584

Least Common Multiple (LCM) of 75616 and 75633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75616 and 75633. First we will calculate the prime factors of 75616 and 75633.

Prime Factorization of 75616

Prime Factorization of 75633

Now multiplying the highest exponent prime factors to calculate the LCM of 75616 and 75633.

LCM(75616,75633) = 2⁵ × 17¹ × 139¹ × 3¹ × 1483¹
LCM(75616,75633) = 336415584